方程特征
形如<span class="equation-text" contenteditable="false" data-index="0" data-equation="g(y)dy=f(x)dx的微分方程"><span></span><span></span></span>
解法
1.分离变量，将方程写成<span class="equation-text" contenteditable="false" data-index="0" data-equation="g(y)dy=f(x)dx的形式"><span></span><span></span></span>
2.取不定积分，<span class="equation-text" contenteditable="false" data-index="0" data-equation="\int_{}^{} g(y) dy=\int_{}^{} f(x) dx,设积分后的G(x)=F(x)+C"><span></span><span></span></span>
3.求出通解,求由<span class="equation-text" contenteditable="false" data-index="0" data-equation="G(x)=F(x)+C"><span></span><span></span></span>所确定的<span class="equation-text" contenteditable="false" data-index="1" data-equation="y=\phi(x)"><span></span><span></span></span>,它们均是方程的通解，其中<span class="equation-text" contenteditable="false" data-index="2" data-equation="G(x)=F(x)+C为隐式通解"><span></span><span></span></span>，要写C为任意常数勿忘，C视情况变换lnc....
